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Young's Modulus of Elasticity

A beam of met...

Question

A beam of metal supported at the two edges is loaded at the centre. The depression at the centre is proportional to

A

Y^{2}

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B

Y

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C

1 / Y

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D

1 / Y^{2}

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Solution

The correct option is B $1 / Y$
Young's modulus: $Y = \frac{\frac{F}{a}}{\frac{Δ l}{l}} = \frac{F l}{a (Δ l)}$
$Δ l \to \frac{1}{Y}$

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